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Finding the Fourth Proportional to 809.63, 1,117.37 and 561.77

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Solution

The fourth proportional to 809.63, 1,117.37 and 561.77 is: 775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,117.37 = 561.77 : x
  2. Step 2: Convert to fraction form
    809.63/1,117.37 = 561.77/x
  3. Step 3: Cross multiply
    809.63x = 1,117.37 × 561.77
  4. Step 4: Simplify right side
    809.63x = 627,702.14
  5. Step 5: Solve for x
    x = 627,702.14/809.63
  6. Step 6: Final answer
    x = 775.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.